Search a number
-
+
34245672472 = 231131149173487
BaseRepresentation
bin11111111001001100…
…110111111000011000
310021101122021102002201
4133321030313320120
51030113343004342
623422055335544
72321432261464
oct377114677030
9107348242081
1034245672472
1113583875660
1267789815b4
1332c9b7252b
14192c26d4a4
15d5672adb7
hex7f9337e18

34245672472 has 128 divisors (see below), whose sum is σ = 73363968000. Its totient is φ = 14845939200.

The previous prime is 34245672437. The next prime is 34245672479. The reversal of 34245672472 is 27427654243.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34245672479) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 70319413 + ... + 70319899.

It is an arithmetic number, because the mean of its divisors is an integer number (573156000).

Almost surely, 234245672472 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34245672472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36681984000).

34245672472 is an abundant number, since it is smaller than the sum of its proper divisors (39118295528).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

34245672472 is a wasteful number, since it uses less digits than its factorization.

34245672472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 857 (or 853 counting only the distinct ones).

The product of its digits is 2257920, while the sum is 46.

The spelling of 34245672472 in words is "thirty-four billion, two hundred forty-five million, six hundred seventy-two thousand, four hundred seventy-two".

Divisors: 1 2 4 8 11 22 31 44 62 88 124 149 173 248 298 341 346 487 596 682 692 974 1192 1364 1384 1639 1903 1948 2728 3278 3806 3896 4619 5357 5363 6556 7612 9238 10714 10726 13112 15097 15224 18476 21428 21452 25777 30194 36952 42856 42904 50809 51554 58993 60388 72563 84251 101618 103108 117986 120776 145126 166067 168502 203236 206216 235972 283547 290252 332134 337004 406472 471944 567094 580504 664268 674008 798193 799087 926761 1134188 1328536 1596386 1598174 1853522 2249453 2268376 2611781 3192772 3196348 3707044 4498906 5223562 6385544 6392696 7414088 8789957 8997812 10447124 12553399 17579914 17995624 20894248 24743983 25106798 28729591 35159828 49487966 50213596 57459182 70319656 98975932 100427192 114918364 138087389 197951864 229836728 276174778 389155369 552349556 778310738 1104699112 1556621476 3113242952 4280709059 8561418118 17122836236 34245672472